Corresponding Angles Postulate and Consecutive Interior Angles Theorem

Consecutive Interior Angles Theorem and Corresponding Angles Postulate Kate W., Lena W., Hannah T., Rachel T.
Consecutive Interior Angles Theorem:If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.Corresponding Angles Postulate:If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.Examples: use the diagram
1) name the angle pair relationship of <3 and <6
2) name the angle pair relationship of <1 and <5
3) name the angle pair relationship of <4 and <5
4) name the angle pair relationship of <3 and <75) if m<4= 35degrees, what is the m<8=?6) if m<2=69degrees, what is the m<6=?7) if m<3= 50, what is the m<6=?Answers:1)consecutive interior angles2) corresponding angles3) consecutive interior angles4) corresponding angles5) 35degrees6) 69degrees7) 130degreesWebsites:Corresponding Angles PostulateConsecutive Interior Angles TheoremGamesCrossword Puzzle

Consecutive Interior Angles Theorem and Corresponding Angles Postulate

Miranda J, Rachel S, Kathleen D, Danielle C

Consecutive Interior Angles Theorem

If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles formed are supplementary.

Consecutive Interior Angles

Consecutive Interior Angles are formed when two parallel lines are cut by a transversal.

In the figure, angles 3 and 5 are consecutive interior angles.
Also angles 4 and 6 are consecutive interior angles.


Proof:
Given: k || l is a transversal
Prove: are supplementary and are supplementary.

	Statement	Reason
1	k	l, t is a traversal.	Given
2	form a linear pair and form a linear pair.
3	are supplementary are supplementary.
4
5	are supplementary are supplementary.

Answer:


Proof:
Given: k || l is a transversal
Prove: are supplementary and are supplementary.

	Statement	Reason
1	k	l, t is a traversal.	Given
2	form a linear pair and form a linear pair.	Definition of linear pair
3	are supplementary are supplementary.	Supplement postulate
4		Alternate Interior Angle Theorem
5	are supplementary are supplementary.	Substitution Property

Corresponding Angles Postulate-
states that, when two parallel lines are cut by a transversal, the resulting corresponding angles are congruent.

Examples:


Name four corresponding angles.

Answers: <3 and <7
<2 and <6
<4 and <8
<1 and <5